Information on Result #711365
Linear OA(598, 656, F5, 28) (dual of [656, 558, 29]-code), using construction XX applied to C1 = C([130,155]), C2 = C([138,157]), C3 = C1 + C2 = C([138,155]), and C∩ = C1 ∩ C2 = C([130,157]) based on
- linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,155}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,157}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(560, 624, F5, 18) (dual of [624, 564, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,155}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(510, 26, F5, 7) (dual of [26, 16, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(51, 6, F5, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.